Atkin-Lehner |
2+ 3- 11- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238bo |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
-84220660922112 = -1 · 28 · 314 · 11 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9009,-296595] |
[a1,a2,a3,a4,a6] |
Generators |
[78:-975:1] |
Generators of the group modulo torsion |
j |
110917182199823/115529027328 |
j-invariant |
L |
6.3714658139095 |
L(r)(E,1)/r! |
Ω |
0.32909947550489 |
Real period |
R |
1.2100189854989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.999999998902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746bk1 |
Quadratic twists by: -3 |